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Updated: Sep 5, 2025
06:15
Preparation of Binary and Ternary Deep Eutectic Systems
Published on: October 31, 2019
12.1K
Solidification of ternary melts with a two-phase layer
L V Toropova1,2, A A Ivanov3, S I Osipov4
1Laboratory of Mathematical Modeling of Physical and Chemical Processes in Multiphase Media, Department of Theoretical and Mathematical Physics, Ural Federal University, Ekaterinburg 620000, Russia.
Summary
This study models nonstationary solidification in three-component systems with two moving phase transition layers. Initial impurity concentration significantly impacts the two-phase layer lengths, influencing solidification dynamics.
Area of Science:
- Materials Science
- Chemical Engineering
- Thermodynamics
Background:
- Solidification processes are crucial in materials science and engineering.
- Understanding multi-component systems presents unique challenges.
- Nonstationary and multi-phase solidification requires advanced modeling.
Purpose of the Study:
- To develop and analyze a model for nonstationary solidification in three-component systems.
- To investigate the influence of two moving phase transition regions.
- To determine analytical solutions for temperature, concentration, and phase fraction distributions.
Main Methods:
- Development of a non-linear moving boundary problem.
- Analytical solution of the defined problem.
- Theoretical consideration of a non-linear liquidus surface equation.
Main Results:
- Defined analytical solutions for temperature and impurity concentration distributions.
- Determined solid phase fractions within the phase transition regions.
- Established the laws of motion for the boundaries of the main and cotectic layers.
- Observed significant impact of initial impurity concentration on the ratio of two-phase layer lengths.
Conclusions:
- The developed model accurately describes nonstationary solidification in complex systems.
- Initial impurity concentration is a critical factor controlling solidification structure.
- Analytical solutions provide valuable insights into phase transition dynamics.
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